Research

I have conducted research in various areas of mathematics, data science, and computer science. My advisors are Mark Carpenter (Statistics) and Hal Schenck (Algebraic Geometry), and I am currently working on projects in both fields.

Original publications/writings:

1. “An FDA Preprocessing Approach to Neural Network Multiclass Missile Classification and Waypoint Prediction”, a paper coauthored with Dr. Mark Carpenter and Dr. Roy Hartfield (aerospace engineering).
2. “Friends in Z_n”, a paper coauthored with Dr. Peter Johnson at my Auburn REU.
3. Quantum Dimension Polynomials: A Networked-Numbers Game Approach, my Honors Thesis at Murray State.

Major graduate school experiences so far:

• AIAA SciTech forum: conference in Orlando, FL, January 6 through January 10, 2025.
• A talk at my department’s Fall 2024 Graduate Student Seminar about my research experiences in grad school: the below project, algebraic geometry research, and the above FDA paper.
• A talk at my department’s Combinatorics Seminar: a project titled “Minimal sizes of out-neighborhoods in the $F$-lattice”, joint work with Sean Grate and Haile Gilroy.
• Multigraded and differential graded methods in commutative algebra: Summer Graduate School at St. Mary’s College, July 29 through August 9, 2024.
• Macaulay2, Computational Algebraic Geometry and String Theory: workshop and conference at the University of Utah, May 28 through June 5, 2024.
• A talk at my department’s Fall 2023 Graduate Student Seminar about an independent project conducted during my Spring 2023 Algebra independent study with my advisor Hal Schenck.

History of undergraduate research activities:

• Presidential Fellowship research at Murray State University (my undergrad institution),
• an REU in Algebra & Discrete Mathematics at Auburn University, and
• an REU in Computational Science at Louisiana State University.